<p>Left: (a) Stable dynamic (poles at −0.35 ± 0.69<i>j</i>). Right: (b) Unstable dynamic (poles at 0.5 and −1.2). In (a), the trajectories move in a clockwise motion to reach the origin. In (b), the trajectories move away from the origin except along the asymptotes of the hyperbolic structure in the quadrants with .</p
<p>Suppose a set of variables X and Y is in circadian oscillation, where X is instantaneously upregu...
<p>The solid line indicates the mono-stable phase and the dashed line indicates the unstable oscilla...
<p>(A) Bifurcation diagram. Solid lines correspond to stable, and dashed lines to unstable solutions...
<p>Left: (a) Comparison of the time evolution of the output <i>y</i>(<i>t</i>) produced by a fixed s...
<p>(A) A fragment of the bifurcation diagram. Here and in the following charts, the black lines stan...
<p>In each plane, the initial state at <i>t</i> = 0 is represented by the thick curve segment labele...
Color denotes the magnitude of the dynamics and , and the direction is shown by the arrows. Streaml...
<p>(A–C) Schematic drawings of a limit cycle attractor and a perturbation delivered to the system ar...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
In structural dynamics models of mechanical oscillator and vibration analysis are of great importanc...
<p><i>Left panel:</i> phase control bifurcation diagram. Values of the outcome phase driven by Eqs....
<p>(A) Fixation (pre-target onset): , , . Orange and green curves represent nullclines: where and ,...
<p><i>A</i> = 3, <i>β</i> = 0.375, <i>α</i> = 0.5, <i>μ</i><sub>0</sub> = 0.5, <i>μ</i><sub>1</sub> ...
<p>The -nullcline and -nullcline are colored in blue and green respectively. The red circles represe...
<p>Figs a), b) and c) show the bifurcation diagrams (black dots) and the largest eigenvalues (red sy...
<p>Suppose a set of variables X and Y is in circadian oscillation, where X is instantaneously upregu...
<p>The solid line indicates the mono-stable phase and the dashed line indicates the unstable oscilla...
<p>(A) Bifurcation diagram. Solid lines correspond to stable, and dashed lines to unstable solutions...
<p>Left: (a) Comparison of the time evolution of the output <i>y</i>(<i>t</i>) produced by a fixed s...
<p>(A) A fragment of the bifurcation diagram. Here and in the following charts, the black lines stan...
<p>In each plane, the initial state at <i>t</i> = 0 is represented by the thick curve segment labele...
Color denotes the magnitude of the dynamics and , and the direction is shown by the arrows. Streaml...
<p>(A–C) Schematic drawings of a limit cycle attractor and a perturbation delivered to the system ar...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
In structural dynamics models of mechanical oscillator and vibration analysis are of great importanc...
<p><i>Left panel:</i> phase control bifurcation diagram. Values of the outcome phase driven by Eqs....
<p>(A) Fixation (pre-target onset): , , . Orange and green curves represent nullclines: where and ,...
<p><i>A</i> = 3, <i>β</i> = 0.375, <i>α</i> = 0.5, <i>μ</i><sub>0</sub> = 0.5, <i>μ</i><sub>1</sub> ...
<p>The -nullcline and -nullcline are colored in blue and green respectively. The red circles represe...
<p>Figs a), b) and c) show the bifurcation diagrams (black dots) and the largest eigenvalues (red sy...
<p>Suppose a set of variables X and Y is in circadian oscillation, where X is instantaneously upregu...
<p>The solid line indicates the mono-stable phase and the dashed line indicates the unstable oscilla...
<p>(A) Bifurcation diagram. Solid lines correspond to stable, and dashed lines to unstable solutions...